{"id":"cb_question_bank:cf164a9d-bae2-4677-a720-a0e9efd13edf","source_id":"cb_question_bank","source_item_id":"cf164a9d-bae2-4677-a720-a0e9efd13edf","external_id":"3b2762db-3e04-4423-acad-306a8ce4ed60","ibn":null,"question_id":"7b731fc3","program":"SAT","module":"math","domain_code":"Q","domain":"Problem-Solving and Data Analysis","skill_code":"Q.B.","skill":"Percentages","difficulty":"M","score_band":4,"answer_type":"spr","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"What number is 40 percent sign greater than 115 ?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: left;\">What number is <math alttext=\"40 percent sign\"><mn>40</mn>\n<mo>%</mo></math> greater than <math alttext=\"115\"><mn>115</mn>\n</math>?</p>","rationale_html":"<p style=\"text-align: left;\">The correct answer is <math alttext=\"161\"><mn>161</mn>\n</math>. For a number to be <math alttext=\"40 percent sign\"><mn>40</mn><mo>%</mo></math> greater than <math alttext=\"115\"><mn>115</mn>\n</math>, it follows that the number is&nbsp;<math alttext=\"left parenthesis 100 percent sign of 115 right parenthesis plus left parenthesis 40 percent sign of 115 right parenthesis\"><mfenced><mrow><mn>100</mn><mo>%</mo><mo>&nbsp;</mo><mtext>of</mtext><mo>&nbsp;</mo><mn>115</mn></mrow></mfenced><mo>+</mo><mfenced><mrow><mn>40</mn><mo>%</mo><mo>&nbsp;</mo><mtext>of</mtext><mo>&nbsp;</mo><mn>115</mn></mrow></mfenced></math>, which can be written as&nbsp;<math alttext=\"StartFraction 100 Over 100 EndFraction left parenthesis 115 right parenthesis plus StartFraction 40 Over 100 EndFraction left parenthesis 115 right parenthesis\"><mfrac><mn>100</mn><mn>100</mn></mfrac><mfenced><mn>115</mn></mfenced><mo>+</mo><mfrac><mn>40</mn><mn>100</mn></mfrac><mfenced><mn>115</mn></mfenced></math>. This expression is equivalent to&nbsp;<math alttext=\"1 left parenthesis 115 right parenthesis plus 0.4 left parenthesis 115 right parenthesis\"><mn>1</mn><mfenced><mn>115</mn></mfenced><mo>+</mo><mn>0.4</mn><mfenced><mn>115</mn></mfenced></math>, or&nbsp;<math alttext=\"1.4 left parenthesis 115 right parenthesis\"><mn>1.4</mn><mfenced><mn>115</mn></mfenced></math>, which is equal to <math alttext=\"161\"><mn>161</mn>\n</math>. Therefore, <math alttext=\"161\"><mn>161</mn>\n</math> is <math alttext=\"40 percent sign\"><mn>40</mn><mo>%</mo></math> greater than <math alttext=\"115\"><mn>115</mn>\n</math>.</p>","correct_answer":["161"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.832000+00:00","source_updated_at":"2023-08-02T20:25:59.832000+00:00","options":[],"attribution":{"source_id":"cb_question_bank","source_name":"College Board digital SAT question bank (community dump)","rights_holder":"College Board","canonical_url":"https://satsuitequestionbank.collegeboard.org/","retrieved_from":"https://raw.githubusercontent.com/mdn522/sat-question-bank/main/data/cb-digital-questions.json","attribution":"SAT practice questions © College Board, from the official SAT Suite Question Bank. Retrieved via the community dump at github.com/mdn522/sat-question-bank.","disclaimer":"SAT® and PSAT/NMSQT® are trademarks registered by the College Board, which is not affiliated with, does not sponsor, and does not endorse this project.","license":"College Board copyright; source repository carries no licence. Local use only.","redistributable":false,"item_count":2017}}